DOI: 10.1063/1.529751. The Berry connection and Born

The Berry connection and Born–Oppenheimer method

10.1063/1.529751

Crossref journal-article

AIP Publishing

Journal of Mathematical Physics (317)

Abstract

By performing the most general Born–Oppenheimer procedure, the (non-Abelian) Berry connection for quantum systems in a quantum environment is derived. This method is then applied to the rapid rotation of a particle about a slowly changing axis, as exemplified by the electronic motion of a diatomic molecule. The angular part of the resulting dynamics for the quantum environment is equivalent to that of a monopole.

Bibliography

Bohm, A., Kendrick, B., Loewe, M. E., & Boya, L. J. (1992). The Berry connection and BornâOppenheimer method. Journal of Mathematical Physics, 33(3), 977â989.

Authors 4

A. Bohm (first)
B. Kendrick (additional)
Mark E. Loewe (additional)
L. J. Boya (additional)

References 30 Referenced 38

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{'key': '2024021019300601000_r2', 'first-page': '457', 'volume': '84', 'year': '1927', 'journal-title': 'Ann. Phys.'} / Ann. Phys. (1927)
10.1039/df9633500077 / Discuss. Faraday Soc. (1963)
10.1098/rspa.1975.0095 / Proc. R. Soc. London Ser. A (1975)
10.1063/1.437734 / J. Chem. Phys. (1979)
10.1016/0301-0104(80)85035-X / Chem. Phys. (1980)
10.1103/PhysRevLett.56.893 / Phys. Rev. Lett. (1986)
{'key': '2024021019300601000_r5a'}
10.1142/S0217751X88000114 / Int. J. Mod. Phys. A (1988)
10.1103/PhysRevLett.64.256 / Phys. Rev. Lett. (1990)
10.1016/0375-9601(87)90189-7 / Phys. Lett. A (1987)
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{'key': '2024021019300601000_r10'}
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{'key': '2024021019300601000_r21'}

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:50 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 2:30 p.m.)
Indexed	1 year, 5 months ago (March 8, 2024, 8:41 p.m.)
Issued	33 years, 6 months ago (March 1, 1992)
Published	33 years, 6 months ago (March 1, 1992)
Published Print	33 years, 6 months ago (March 1, 1992)

Funders 0

None

BibTeX

@article{Bohm_1992, title={The Berry connection and Born–Oppenheimer method}, volume={33}, ISSN={1089-7658}, url={http://dx.doi.org/10.1063/1.529751}, DOI={10.1063/1.529751}, number={3}, journal={Journal of Mathematical Physics}, publisher={AIP Publishing}, author={Bohm, A. and Kendrick, B. and Loewe, Mark E. and Boya, L. J.}, year={1992}, month=mar, pages={977–989} }

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